This study will determine the best ways to collect, process and store umbilical cord blood from babies with sickle cell disease, sickle cell trait and unaffected babies. Sickle cell disease is an abnormality of the hemoglobin in red blood cells that causes the cells to change shape and clump together, preventing their normal flow in the bloodstream. This impairs blood flow to various organs, and the resulting oxygen deprivation causes organ damage.